Question

four Bells toll at intervals 3, 7,12and 14 minutes the four Bells toll together at 12 o'clock when will they again toll together

Answer 1

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we have to find the LCM of (3,7,12,14)=84

so they will toll together after every 84 minutes...

=1hr24 minutes

so the next time when they will troll again is

=12+1.24

=13.24hr

i.e.they toll again when clock will show 1'o clock and 24 minutes

Answer 2

Concept:

The abbreviation LCM stands for "Least Common Multiple." The smallest multiple that two or more numbers share is known as the least common multiple.

Given:

Four bells toll at 3, 7, 12, and 14 minutes.

The bells toll together at 12 noon.

Find:

The time when they will toll together again.

Solution:

Four bells ring together at 3, 7, 12, and 14 minutes.

The numbers can also be written as:

3 = 1 x 3

7 = 1 x 7

12 = 1 x 2 x 2 x 3

14 = 1 x 2 x 7

Therefore,

The LCM of 3, 7, 12, 14 is 1 x 2 x 2 x 3 x 7 = 84 minutes.

Now, 84 minutes is 60 minutes + 24 minutes or in other words 1 hour 24 minutes.

1 hour 24 minutes after 12 noon is 1:24 p.m.

The four bells will ring together again at 1:24 pm.

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